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Author : Jérôme Bolte
Publisher :
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.:/5 (116 download)
Download or read book Sur des systèmes dynamiques dissipatifs de type gradient written by Jérôme Bolte and published by . This book was released on 2003 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alain Haraux
Publisher : Elsevier Masson
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.3/5 (91 download)
Download or read book Systèmes dynamiques dissipatifs et applications written by Alain Haraux and published by Elsevier Masson. This book was released on 1991 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Felipe Álvarez Daziano
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (494 download)
Download or read book Systèmes dynamiques dissipatifs et méthodes d'approximation en optimisation convexe written by Felipe Álvarez Daziano and published by . This book was released on 1998 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: DANS LA PREMIERE PARTIE DE CETTE THESE ON ETUDIE LE COMPORTEMENT ASYMPTOTIQUE DES TRAJECTOIRES DE SYSTEMES DYNAMIQUES DISSIPATIFS ASSOCIES A L'ETUDE DE PROBLEMES D'OPTIMISATION CONVEXES EN DIMENSION FINIE ET INFINIE. ON CONSIDERE TOUT D'ABORD LA METHODE DE NEWTON CONTINUE POUR LAQUELLE ON MONTRE, SOUS DES HYPOTHESES DE FORTE CONVEXITE, QUE LES TRAJECTOIRES CONVERGENT VERS L'UNIQUE MINIMUM. ON CONSTRUIT UN NOUVEAU SYSTEME COUPLANT LA METHODE DE NEWTON AVEC DES SCHEMAS D'APPROXIMATION, CE QUI PERMET DE SELECTIONNER DES SOLUTIONS PARTICULIERES DANS LE CAS DE PROBLEMES D'OPTIMISATION MAL POSES EN UNICITE. ON ETUDIE D'AUTRE PART LE SYSTEME DE LA BOULE PESANTE AVEC FROTTEMENT, UN SYSTEME OSCILLANT AMORTI, DONT ON MONTRE LA CONVERGENCE FAIBLE DES TRAJECTOIRES VERS DES OPTIMA. DES VERSIONS DISCRETES DES SYSTEMES DYNAMIQUES PRECEDENTS SONT ETUDIES POUR LESQUELS ON OBTIENT DES RESULTATS DE CONVERGENCE SIMILAIRES. DANS LA DEUXIEME PARTIE, ON CONSIDERE DES METHODES D'APPROXIMATION POUR CERTAINES CLASSES DE PROBLEMES VARIATIONNELS. EN DIMENSION FINIE, ON ETUDIE LA METHODE DE PENALISATION EXPONENTIELLE EN PROGRAMMATION MATHEMATIQUE CONVEXE, ET L'ON MONTRE QUE CETTE METHODE SELECTIONNE A LA LIMITE UNE SOLUTION PARTICULIERE QUE L'ON CARACTERISE PAR UN SCHEMA HIERARCHIQUE DE PROBLEMES MIN-MAX. EN DIMENSION INFINIE, ON ETUDIE L'APPROXIMATION L#P DU PROBLEME DE L'EXTENSION LIPSCHITZIENNE MINIMALE, DANS LE CAS NON HOMOGENE. ON OBTIENT UN RESULTAT DE SELECTION, UTILISANT LA NOTION DE SOLUTION DE VISCOSITE POUR UNE EQUATION ELLIPTIQUE DEGENEREE. ENFIN, ON ETUDIE L'HOMOGENEISATION DE PROBLEMES D'ELASTICITE NON LINEAIRE PAR DES METHODES DIRECTES DE -CONVERGENCE.
Author : Felipe Álvarez Daziano
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (494 download)
Download or read book Systemes dynamiques dissipatifs et methodes d'approximation en optimisation convexe written by Felipe Álvarez Daziano and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : SEBASTIEN.. NEUKIRCH
Publisher :
ISBN 13 :
Total Pages : 171 pages
Book Rating : 4.:/5 (49 download)
Download or read book LES ATTRACTEURS DES SYSTEMES DYNAMIQUES DISSIPATIFS DE LORENZ ET DE LIENARD written by SEBASTIEN.. NEUKIRCH and published by . This book was released on 1998 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: LE SUJET DE LA THESE SE SITUE DANS LE CADRE DE L'ETUDE DES EQUATIONS DIFFERENTIELLES ORDINAIRES ET DES SYSTEMES DYNAMIQUES NON LINEAIRES. LA THESE PRESENTE UNE ETUDE DES ATTRACTEURS DES SYSTEMES DYNAMIQUES DISSIPATIFS. EN PARTICULIER, L'ATTRACTEUR CHAOTIQUE DE LORENZ ET LES CYCLES LIMITES DES SYSTEMES DE LIENARD. LA PREMIERE PARTIE EST DEDIEE AU SYSTEME DE LORENZ. CE SYSTEME EST OBTENU PAR SIMPLIFICATION DES EQUATIONS DE BOUSSINESQ FORMULEES DANS LE CADRE DE LA CONVECTION DE RAYLEIGH-BENARD. LE SYSTEME DE LORENZ EST IMPORTANT CAR IL EST LE PREMIER A AVOIR EXHIBE UN COMPORTEMENT CHAOTIQUE. ON UTILISE DES SECTIONS TRANSVERSES (COURBES OU SURFACES QUI NE SONT TRAVERSEES PAR LE FLOT QUE DANS UN SEUL SENS SUR TOUTE LEUR ETENDUE) POUR ACQUERIR DE L'INFORMATION SUR L'ATTRACTEUR CHAOTIQUE DU SYSTEME. POUR CELA, ON UTILISE LES FORME ALGEBRIQUES DES INTEGRALES DU MOUVEMENT POUR TROUVER DES EQUATIONS DE SECTIONS TRANSVERSES. L'EXISTENCE DES CES SECTIONS TRANSVERSES POUR DES PLAGES DE VALEURS DES PARAMETRES NOUS PERMET DE DONNER DES LIMITES ALGEBRIQUES A L'ATTRACTEUR CHAOTIQUE DU SYSTEME QUAND CELUI-CI EXISTE MAIS AUSSI DE DONNER DES PLAGES DE VALEURS DES PARAMETRES POUR LESQUELLES IL N'Y A PAS DE COMPORTEMENT CHAOTIQUE POSSIBLE. LA DEUXIEME PARTIE PRESENTE UN ALGORITHME SIMPLE QUI DONNE ACCES AU NOMBRE DE CYCLES LIMITES DES SYSTEMES DE LIENARD. EN PLUS DU NOMBRE, ON OBTIENT UNE APPROXIMATION ALGEBRIQUE DE L'EQUATION AINSI QUE LA MULTIPLICITE DE CHACUN DE CES CYCLES. LE GRAND INTERET DE CET ALGORITHME EST QU'IL NE REPOSE PAS SUR L'EXISTENCE D'UN PETIT PARAMETRE (L'ALGORITHME N'EST PAS PERTURBATIF) ET QU'IL CHANGE LE PROBLEME INITIAL DE RESOUDRE UNE EQUATION DIFFERENTIELLE NON-LINEAIRE EN UN PROBLEME ALGEBRIQUE DE COMPTER LES RACINES D'UN POLYNOME A UNE VARIABLE. ON OBTIENT AUSSI GRACE A CET ALGORITHME DES APPROXIMATIONS ALGEBRIQUES DES COURBES DE BIFURCATION (DE HOPF, SADDLE-NODE, HETEROCLINE) DES SYSTEMES DE LIENARD.
Author : Haraux
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (249 download)
Download or read book Systemes dynamiques dissipatifs ... written by Haraux and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexandre Cabot
Publisher :
ISBN 13 :
Total Pages : 181 pages
Book Rating : 4.:/5 (116 download)
Download or read book Etude de Quelques Systèmes Dynamiques Dissipatifs. Application À L'optimisation Et À la Mécanique. Stabilisation de Systèmes Oscillants Avec Équilibres Multiples written by Alexandre Cabot and published by . This book was released on 2002 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alain Haraux
Publisher :
ISBN 13 :
Total Pages : 129 pages
Book Rating : 4.:/5 (962 download)
Download or read book Systemes dynamiques dissipatifs et applicat written by Alain Haraux and published by . This book was released on 1991 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 608 pages
Book Rating : 4.3/5 (37 download)
Download or read book Journal de physique, théorique et appliquée written by and published by . This book was released on 1989 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.3/5 (91 download)
Download or read book Journal of analysis and its applications written by and published by . This book was released on 2006 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roderic S. Lakes
Publisher : CRC Press
ISBN 13 : 1351355643
Total Pages : 476 pages
Book Rating : 4.3/5 (513 download)
Download or read book Viscoelastic Solids (1998) written by Roderic S. Lakes and published by CRC Press. This book was released on 2017-11-22 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viscoelastic Solids covers the mathematical theory of viscoelasticity and physical insights, causal mechanisms, and practical applications. The book: presents a development of the theory, addressing both transient and dynamic aspects as well as emphasizing linear viscoelasticity synthesizes the structure of the theory with the aim of developing physical insight illustrates the methods for the solution of stress analysis problems in viscoelastic objects explores experimental methods for the characterization of viscoelastic materials describes the phenomenology of viscoelasticity in a variety of materials, including polymers, metals, high damping alloys, rock, piezoelectric materials, cellular solids, dense composite materials, and biological materials analyzes high damping and extremely low damping provides the theory of viscoelastic composite materials, including examples of various types of structure and the relationships between structure and mechanical properties contains examples on the use of viscoelastic materials in preventing and alleviating human suffering Viscoelastic Solids also demonstrates the use of viscoelasticity for diverse applications, such as earplugs, gaskets, computer disks, satellite stability, medical diagnosis, injury prevention, vibration abatement, tire performance, sports, spacecraft explosions, and music.
Author : Pierre Ladevèze
Publisher : Springer Science & Business Media
ISBN 13 : 9780387212944
Total Pages : 438 pages
Book Rating : 4.2/5 (129 download)
Download or read book Mastering Calculations in Linear and Nonlinear Mechanics written by Pierre Ladevèze and published by Springer Science & Business Media. This book was released on 2004-12-16 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the management of calculations in linear and nonlinear mechanics. Particular attention is given to error estimators and indicators for structural analysis. The accent is on the concept of error in constitutive relation. An important part of the work is also devoted to the utilization of the error estimators involved in a calculation, beginning with the parameters related to the mesh. Many of the topics are taken from the most recent research by the authors: local error estimators, extention of the concept of error in constitutive relation to nonlinear evolution problems and dynamic problems, adaptive improvement of calculations in nonlinear mechanics. This work is intended for all those interested in mechanics: students, researchers and engineers concerned with the construction of models as well as their simulation for industrial purposes.
Author :
Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.:/5 (31 download)
Download or read book Dynamique Non-linéaire Et Le Chaos written by and published by . This book was released on 1993 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fanzhang Li
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110499509
Total Pages : 534 pages
Book Rating : 4.1/5 (14 download)
Download or read book Lie Group Machine Learning written by Fanzhang Li and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains deep learning concepts and derives semi-supervised learning and nuclear learning frameworks based on cognition mechanism and Lie group theory. Lie group machine learning is a theoretical basis for brain intelligence, Neuromorphic learning (NL), advanced machine learning, and advanced artifi cial intelligence. The book further discusses algorithms and applications in tensor learning, spectrum estimation learning, Finsler geometry learning, Homology boundary learning, and prototype theory. With abundant case studies, this book can be used as a reference book for senior college students and graduate students as well as college teachers and scientific and technical personnel involved in computer science, artifi cial intelligence, machine learning, automation, mathematics, management science, cognitive science, financial management, and data analysis. In addition, this text can be used as the basis for teaching the principles of machine learning. Li Fanzhang is professor at the Soochow University, China. He is director of network security engineering laboratory in Jiangsu Province and is also the director of the Soochow Institute of industrial large data. He published more than 200 papers, 7 academic monographs, and 4 textbooks. Zhang Li is professor at the School of Computer Science and Technology of the Soochow University. She published more than 100 papers in journals and conferences, and holds 23 patents. Zhang Zhao is currently an associate professor at the School of Computer Science and Technology of the Soochow University. He has authored and co-authored more than 60 technical papers.
Author : Viorel Barbu
Publisher : Springer Science & Business Media
ISBN 13 : 9783764327880
Total Pages : 376 pages
Book Rating : 4.3/5 (278 download)
Download or read book Optimization, Optimal Control and Partial Differential Equations written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 1992 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods in mechanics and physical models.- Fluid flows in dielectric porous media.- The impact of a jet with two fluids on a porous wall.- Critical point methods in nonlinear eigenvalue problems with discontinuities.- Maximum principles for elliptic systems.- Exponential dichotomy of evolution operators in Banach spaces.- Asymptotic properties of solutions to evolution equations.- On some nonlinear elastic waves biperiodical or almost periodical in mechanics and extensions hyperbolic nonlinear partial differential equations.- The controllability of infinite dimensional and distributed parameter systems.- Singularities in boundary value problems and exact controllability of hyperbolic systems.- Exact controllability of a shallow shell model.- Inverse problem: Identification of a melting front in the 2D case.- Micro-local approach to the control for the plates equation.- Bounded solutions for controlled hyperbolic systems.- Controllability and turbulence.- The H? control problem.- The H? boundary control with state feedback; the hyperbolic case.- Remarks on the theory of robust control.- The dynamic programming method.- Optimality and characteristics of Hamilton-Jacobi-Bellman equations.- Verification theorems of dynamic programming type in optimal control.- Isaacs' equations for value-functions of differential games.- Optimal control for robot manipulators.- Control theory and environmental problems: Slow fast models for management of renewable ressources.- On the Riccati equations of stochastic control.- Optimal control of nonlinear partial differential equations.- A boundary Pontryagin's principle for the optimal control of state-constrained elliptic systems.- Controllability properties for elliptic systems, the fictitious domain method and optimal shape design problems.- Optimal control for elliptic equation and applications.- Inverse problems for variational inequalities.- The variation of the drag with respect to the domain in Navier-Stokes flow, .- Mathematical programming and nonsmooth optimization.- Scalar minimax properties in vectorial optimization.- Least-norm regularization for weak two-level optimization problems.- Continuity of the value function with respect to the set of constraints.- On integral inequalities involving logconcave functions.- Numerical solution of free boundary problems in solids mechanics.- Authors' index
Author : Frank Nielsen
Publisher : Springer Science & Business Media
ISBN 13 : 3319053175
Total Pages : 397 pages
Book Rating : 4.3/5 (19 download)
Download or read book Geometric Theory of Information written by Frank Nielsen and published by Springer Science & Business Media. This book was released on 2014-05-08 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together geometric tools and their applications for Information analysis. It collects current and many uses of in the interdisciplinary fields of Information Geometry Manifolds in Advanced Signal, Image & Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine Learning, Speech/sound recognition and natural language treatment which are also substantially relevant for the industry.
Author : Alain Haraux
Publisher : Springer
ISBN 13 : 3319234072
Total Pages : 147 pages
Book Rating : 4.3/5 (192 download)
Download or read book The Convergence Problem for Dissipative Autonomous Systems written by Alain Haraux and published by Springer. This book was released on 2015-09-05 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book investigates classical and more recent methods of study for the asymptotic behavior of dissipative continuous dynamical systems with applications to ordinary and partial differential equations, the main question being convergence (or not) of the solutions to an equilibrium. After reviewing the basic concepts of topological dynamics and the definition of gradient-like systems on a metric space, the authors present a comprehensive exposition of stability theory relying on the so-called linearization method. For the convergence problem itself, when the set of equilibria is infinite, the only general results that do not require very special features of the non-linearities are presently consequences of a gradient inequality discovered by S. Lojasiewicz. The application of this inequality jointly with the so-called Liapunov-Schmidt reduction requires a rigorous exposition of Semi-Fredholm operator theory and the theory of real analytic maps on infinite dimensional Banach spaces, which cannot be found anywhere in a readily applicable form. The applications covered in this short text are the simplest, but more complicated cases are mentioned in the final chapter, together with references to the corresponding specialized papers.
